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Finding the Fourth Proportional to 24,489.75, 33,796.14 and 13,311.75

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Solution

The fourth proportional to 24,489.75, 33,796.14 and 13,311.75 is: 18,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.75 : 33,796.14 = 13,311.75 : x
  2. Step 2: Convert to fraction form
    24,489.75/33,796.14 = 13,311.75/x
  3. Step 3: Cross multiply
    24,489.75x = 33,796.14 × 13,311.75
  4. Step 4: Simplify right side
    24,489.75x = 449,885,766.65
  5. Step 5: Solve for x
    x = 449,885,766.65/24,489.75
  6. Step 6: Final answer
    x = 18,370.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.